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212300220 = 223511674801
BaseRepresentation
bin11001010011101…
…11000110111100
3112210110222011010
430221313012330
5413322101340
633022155220
75155344036
oct1451670674
9483428133
10212300220
11a9924330
125b122b10
1334ca2b42
14202a4c56
1513988b80
hexca771bc

212300220 has 96 divisors (see below), whose sum is σ = 658296576. Its totient is φ = 50688000.

The previous prime is 212300203. The next prime is 212300239. The reversal of 212300220 is 22003212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 212300196 and 212300205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41820 + ... + 46620.

It is an arithmetic number, because the mean of its divisors is an integer number (6857256).

Almost surely, 2212300220 is an apocalyptic number.

212300220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329148288).

212300220 is an abundant number, since it is smaller than the sum of its proper divisors (445996356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212300220 is a wasteful number, since it uses less digits than its factorization.

212300220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4891 (or 4889 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 212300220 is about 14570.5257283325. The cubic root of 212300220 is about 596.5545302133.

Adding to 212300220 its reverse (22003212), we get a palindrome (234303432).

The spelling of 212300220 in words is "two hundred twelve million, three hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 67 110 132 134 165 201 220 268 330 335 402 660 670 737 804 1005 1340 1474 2010 2211 2948 3685 4020 4422 4801 7370 8844 9602 11055 14403 14740 19204 22110 24005 28806 44220 48010 52811 57612 72015 96020 105622 144030 158433 211244 264055 288060 316866 321667 528110 633732 643334 792165 965001 1056220 1286668 1584330 1608335 1930002 3168660 3216670 3538337 3860004 4825005 6433340 7076674 9650010 10615011 14153348 17691685 19300020 21230022 35383370 42460044 53075055 70766740 106150110 212300220